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Vika [28.1K]
3 years ago
12

What is the gcf of 4y-28​

Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

4(y-7)

Step-by-step explanation:

factor the polynomial 4y-28 hi it's GCF: 4

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What is the measure of m<1 will ensure that the rail is parallel to the bottom of the staircase?
cricket20 [7]

You can observe that angle 1 and angle with 47° are inside a parallelogram.

Consider that the sum of the internal angles of a parallelogram is 360°.

Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.

Consider that angle down right side is congruent with angle 1, then, they have the same measure.

You can write the previous situation in the following equation:

47 + 47 + ∠1 + ∠1 = 360 simplify like terms

94 + 2∠1 = 360 subtract both sides by 94

2∠1 = 360 - 94

2∠1 = 266 divide by 2 both sides

∠1 = 266/2

∠1 = 133

Hence, the measure of angle 1 is m∠1 = 133°

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11 months ago
Max worked 13 hours last week at the grocery store and earned $94.25.If he only worked 5 hours this week, how much money did he
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Find the domain and range of<br><br> f(x)= (2x+6) / ((x^2)-x-12)
creativ13 [48]

Answer:

Step-by-step explanation:

If you want to determine the domain and range of this analytically, you first need to factor the numerator and denominator to see if there is a common factor that can be reduced away.  If there is, this affects the domain.  The domain are the values in the denominator that the function covers as far as the x-values go.  If we factor both the numerator and denominator, we get this:

f(x)=\frac{2(x+3)}{(x-4)(x+3)}

Since there is a common factor in the numerator and the denominator, (x + 3), we can reduce those away.  That type of discontinuity is called a removeable discontinuity and creates a hole in the graph at that value of x.  The other factor, (x - 4), does not cancel out.  This is called a vertical asymptote and affects the domain of the function.  Since the denominator of a rational function (or any fraction, for that matter!) can't EVER equal 0, we see that the denominator of this function goes to 0 where x = 4.  That means that the function has to split at that x-value.  It comes in from the left, from negative infinity and goes down to negative infinity at x = 4.  Then the graph picks up again to the right of x = 4 and comes from positive infinity and goes to positive infinity.  The domain is:

(-∞, 4) U (4, ∞)

The range is (-∞, ∞)

If you're having trouble following the wording, refer to the graph of the function on your calculator and it should become apparent.

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